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Finding the Fourth Proportional to 8,259.30, 11,400.06 and 5,113.74

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Solution

The fourth proportional to 8,259.30, 11,400.06 and 5,113.74 is: 7,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.30 : 11,400.06 = 5,113.74 : x
  2. Step 2: Convert to fraction form
    8,259.30/11,400.06 = 5,113.74/x
  3. Step 3: Cross multiply
    8,259.30x = 11,400.06 × 5,113.74
  4. Step 4: Simplify right side
    8,259.30x = 58,296,942.82
  5. Step 5: Solve for x
    x = 58,296,942.82/8,259.30
  6. Step 6: Final answer
    x = 7,058.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.